history of inverse trignometry Solution Trigonometry is a field of mathematics first compiled by 2nd century BCE by the Greek mathematician Hipparchus. The history of trigonometry and of trigonometric functions follows the general lines of the history of mathematics. Early study of triangles can be traced to the 2nd millennium BC, in Egyptian mathematics (Rhind Mathematical Papyrus) and Babylonian mathematics. Systematic study of trigonometric functions begins in Hellenistic mathematics, reaching India as part of Hellenistic astronomy. In Indian astronomy, the study of trigonometric functions flowers in the Gupta period, especially due to Aryabhata (6th century). During the Middle Ages, the study of trigonometry is continued in Islamic mathematics, whence it is adopted as a separate subject in the Latin West beginning in the Renaissance with Regiomontanus. The development of modern trigonometry then takes place in the western Age of Enlightenment, beginning with 17th century mathematics (Isaac Newton, James Stirling) and reaching its modern form with Leonhard Euler (1748). The term \"trigonometry\" derives from the Greek \"t??????µet??a\" (\"trigonometria\"), meaning \"triangle measuring\", from \"t??????\" (triangle) + \"µet?e??\" (to measure). Our modern word \"sine\", is derived from the Latin word sinus, which means \"bay\", \"bosom\" or \"fold\", translating Arabic jayb. The Arabic term is in origin a corruption of Sanskrit jiva \"chord\". Sanskrit jiva in learned usage was a synonym of jya \"chord\", originally the term for \"bow-string\". Sanskrit jiva was loaned into Arabic as jiba.[1][2][clarification needed] This term was then transformed[2] into the genuine Arabic word jayb, meaning \"bosom, fold, bay\", either by the Arabs or by a mistake[1] of the European translators such as Robert of Chester (perhaps because the words were written without vowels[1]), who translated jayb into Latin as sinus.[3] Particularly Fibonacci\'s sinus rectus arcus proved influential in establishing the term sinus.[4] The words \"minute\" and \"second\" are derived from the Latin phrases partes minutae primae and partes minutae secundae.[5] These roughly translate to \"first small parts\" and \"second small parts\". Early trigonometry The ancient Egyptians and Babylonians had known of theorems on the ratios of the sides of similar triangles for many centuries. But pre-Hellenic societies lacked the concept of an angle measure and consequently, the sides of triangles were studied instead, a field that would be better called \"trilaterometry\".[6] The Babylonian astronomers kept detailed records on the rising and setting of stars, the motion of the planets, and the solar and lunar eclipses, all of which required familiarity with angular distances measured on the celestial sphere.[2] Based on one interpretation of the Plimpton 322 cuneiform tablet (c. 1900 BC), some have even asserted that the ancient Babylonians had a table of secants.[7] There is, however, .

1. history of inverse trignometry
Solution
Trigonometry is a field of mathematics first compiled by 2nd century BCE by the
Greek mathematician Hipparchus. The history of trigonometry and of trigonometric functions
follows the general lines of the history of mathematics. Early study of triangles can be traced to
the 2nd millennium BC, in Egyptian mathematics (Rhind Mathematical Papyrus) and Babylonian
mathematics. Systematic study of trigonometric functions begins in Hellenistic mathematics,
reaching India as part of Hellenistic astronomy. In Indian astronomy, the study of trigonometric
functions flowers in the Gupta period, especially due to Aryabhata (6th century). During the
Middle Ages, the study of trigonometry is continued in Islamic mathematics, whence it is
adopted as a separate subject in the Latin West beginning in the Renaissance with
Regiomontanus. The development of modern trigonometry then takes place in the western Age
of Enlightenment, beginning with 17th century mathematics (Isaac Newton, James Stirling) and
reaching its modern form with Leonhard Euler (1748). The term "trigonometry" derives from
the Greek "t??????µet??a" ("trigonometria"), meaning "triangle measuring", from "t??????"
(triangle) + "µet?e??" (to measure). Our modern word "sine", is derived from the Latin word
sinus, which means "bay", "bosom" or "fold", translating Arabic jayb. The Arabic term is in
origin a corruption of Sanskrit jiva "chord". Sanskrit jiva in learned usage was a synonym of
jya "chord", originally the term for "bow-string". Sanskrit jiva was loaned into Arabic as
jiba.[1][2][clarification needed] This term was then transformed[2] into the genuine Arabic word
jayb, meaning "bosom, fold, bay", either by the Arabs or by a mistake[1] of the European
translators such as Robert of Chester (perhaps because the words were written without
vowels[1]), who translated jayb into Latin as sinus.[3] Particularly Fibonacci's sinus rectus arcus
proved influential in establishing the term sinus.[4] The words "minute" and "second" are
derived from the Latin phrases partes minutae primae and partes minutae secundae.[5] These
roughly translate to "first small parts" and "second small parts". Early trigonometry The
ancient Egyptians and Babylonians had known of theorems on the ratios of the sides of similar
triangles for many centuries. But pre-Hellenic societies lacked the concept of an angle measure
and consequently, the sides of triangles were studied instead, a field that would be better called
"trilaterometry".[6] The Babylonian astronomers kept detailed records on the rising and setting
of stars, the motion of the planets, and the solar and lunar eclipses, all of which required
familiarity with angular distances measured on the celestial sphere.[2] Based on one
interpretation of the Plimpton 322 cuneiform tablet (c. 1900 BC), some have even asserted that
the ancient Babylonians had a table of secants.[7] There is, however, much debate as to whether

2. it is a table of Pythagorean triples, a solution of quadratic equations, or a trigonometric table. The
Egyptians, on the other hand, used a primitive form of trigonometry for building pyramids in the
2nd millennium BC.[2] The Rhind Mathematical Papyrus, written by the Egyptian scribe Ahmes
(c. 1680–1620 BC), contains the following problem related to trigonometry:[2] "If a pyramid is
250 cubits high and the side of its base 360 cubits long, what is its seked?" Ahmes' solution to
the problem is the ratio of half the side of the base of the pyramid to its height, or the run-to-rise
ratio of its face. In other words, the quantity he found for the seked is the cotangent of the angle
to the base of the pyramid and its face.[2]